Straightening rule for an m'-truncated polynomial ring

• Main Author: Lim, Kay Jin
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2020
• Subjects: Science::Mathematics; Symmetric Function; Symmetric Group
• Online Access: https://hdl.handle.net/10356/142879
• Institution: Nanyang Technological University

We consider a certain quotient of a polynomial ring categorified by both the isomorphic Green rings of the symmetric groups and Schur algebras generated by the signed Young permutation modules and mixed powers respectively. They have bases parametrised by pairs of partitions whose second partitions...